Least Common Multiple of 782/269, 7208/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 782/269, 7208/471 quickly i.e. 165784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/269, 7208/471 is 165784.

LCM(782/269, 7208/471) = 165784

LCM of 782/269, 7208/471

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 782/269,7208/471

Given numbers are 782/269,7208/471

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 782,7208

Least Common Multiple of Numerators i.e. LCM of 782,7208 is 165784.

GCF of Denominators means GCF of 269,471 as per the given fractions.

GCF of 269,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,7208

LCM of Fractions 782/269,7208/471 is 165784

2 782, 7208
17 391, 3604
23, 212

∴ So the LCM of the given numbers is 2 x 17 x 23 x 212 = 165784

Least Common Multiple of 782,7208 with GCF Formula

Least Common Multiple of 782,7208 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 782,7208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,7208) = 34

common factors(in case of two or more numbers have common factors) = 1

GCF(782,7208) x common factors =34 x 1 = 34

LCM(782,7208) = ( 782 × 7208 ) / 34

LCM(782,7208) = 5636656 / 34

LCM(782,7208) = 165784


Lets's calculate GCF of 269,471

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165784/1

Therefore the LCM of Fractions 782/269,7208/471 is 165784

Greatest Common Factor of 269,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,471 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 269,471 . The biggest common factor number is the GCF number.
So the greatest common factor 269,471 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 782/269, 7208/471

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 782/269, 7208/471?

Answer: LCM of Numerators as per given numbers 782/269, 7208/471 is

LCM of Numerators i.e. for 782,7208 is 165784

GCF of denominators i.e. for 269,471 is 1.

Thus, LCM of Fractions is 165784.Finally, LCM of Fractions for 782/269, 7208/471 is 165784.